CMRR for differential interconnects¶
CMRR (common-mode rejection ratio) for a measured pair is how much stronger the differential transmission is than the common-mode transmission:
CMRR_linear = |SDD21| / |SCC21|
CMRR_dB = 20 * log10(|SDD21| / |SCC21|)
= SDD21_dB - SCC21_dB
SDD21_dB and SCC21_dB are 20*log10(|S|) (usually negative for a cable). Subtracting them yields a positive CMRR in dB when |SCC21| is smaller than |SDD21|.
Example: SDD21 = −2 dB, SCC21 = −42 dB → CMRR = 40 dB.
Do not take absolute values of the dB traces and subtract those; that sign-flips the result.
What 40 dB means¶
40 dB means |SCC21| is 100× smaller in voltage-wave amplitude than |SDD21| (10⁴ in power). For many digital / high-speed cables that is a solid figure. Whether it is “good” depends on the spec in force:
| Rough band (cable SDD21 vs SCC21) | Reading |
|---|---|
| < 20 dB | Poor balance or a mode-conversion problem — investigate |
| 20–30 dB | Often acceptable for short, non-critical runs; check the standard |
| ~40 dB | Comfortable for a wide range of cable/connector work |
| > 50 dB | Excellent; also check that SCC21 is not in the instrument noise floor |
A requirement of “40 dB min from 100 MHz to 6 GHz” is a spec, not a universal truth. Always compare against the project’s limit line. CMRR that is huge because SCC21 is the VNA’s noise floor is not a balance measurement — look at the raw |SCC21|.
CMRR is not SDC/SCD¶
Mode-conversion traces (SDC21, SCD21) describe conversion between modes. CMRR as defined above is a ratio of like-mode transmissions. A part can have decent CMRR and still fail a mode-conversion mask. Report the quantity the question asked for.
How to compute it in practice¶
- Confirm port mapping.
- Form SDD21 and SCC21 in complex linear (0.5 formulas or an S4P).
- Convert each to dB, subtract.
- Publish CMRR as its own trace if the team plots it next to SDD21.
A single 2-port file cannot produce CMRR.